Where do I get the detailed procedure to find GCD of 498, 144, 261?

You can find a detailed procedure to find GCD of 498, 144, 261 on our page.

How to find GCD of 498, 144, 261 on a calculator?

You can find the GCD of 498, 144, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 498, 144, 261 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 498, 144, 261 quickly. Get the easiest ways to solve the greatest common divisor of 498, 144, 261 i.e 3 in different methods as follows.

How to Find GCD of Numbers 498, 144, 261 with Factoring?

Given Input numbers are 498, 144, 261

In the factoring method, we have to find the divisors of all numbers

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (498, 144, 261) = 3.

Find GCD of 498, 144, 261 using Prime Factorization

Given numbers are 498, 144, 261

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 261 are 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 498, 144, 261 is 3.

Steps to Calculate GCD of 498, 144, 261 using LCM Formula

Given numbers are 498, 144, 261

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(498, 144) = 11952

GCD(498, 144) = ( 498 x 144 ) / 11952

= 498 / 144

= 498

Step2:

LCM(6, 261) = 522

GCD(6, 261) = ( 6 x 261 ) / 522

= 6 / 261

= 6

So, Greatest Common Divisor of 498, 144, 261 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 498, 144, 261

Given numbers are 498, 144, 261
The greatest common divisor of numbers 498, 144, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 144, 261 is 3.

FAQs on GCD of 498, 144, 261 Calculator

1. What is the GCD of 498, 144, 261?

GCD of given numbers 498, 144, 261 is 3

2. How to calculate the greatest common divisor of 498, 144, 261?

We can find the highest common divisor of 498, 144, 261 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 498, 144, 261 i.e 3.

3. How can I use the GCD of 498, 144, 261Calculator?

Out the numbers 498, 144, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.